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PHYSICS Planet X is orbited by three moons, each with a different mass and orbit

ID: 2257574 • Letter: P

Question

PHYSICS

Planet X is orbited by three moons, each with a different mass and orbiting at a different distance from the planet. Moon Ampere has mass 1M and orbits at distance 1D from the center of the planet. Moon Bohr has mass 17M and orbits at a distance 4D from the center of the planet. Moon Curie has mass 24M and orbits at a distance 7D from the center of the planet. Rank these moons in order of the magnitude of the gravitational force they exert on Planet X. Greatest Force Weakest Force Moon Curie Moon Bohr Moon Ampere

Explanation / Answer

F=GMm/r^2

So

Ampere:

F=GMm/D^2


BOHR:

F=17GMm/(16D^2)=1.0625GMm/D^2


Curie:

F=24GMm/(49D^2)=0.49GMm/D^2



So


F(Bohr)>F(Ampere)>F(curie)